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Sig. Wave Height from Wind Speed

Fully-developed seas: H_s ≈ 0.22 · V² / g · f(fetch). Simplified Hasselmann + Pierson-Moskowitz asymptote.

WeatherWaves
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Formula, assumptions, and limits

Hs=min ⁣(0.243V2g,  0.0016gFV2V2g)H_s = \min\!\left(0.243 \tfrac{V^2}{g}, \; 0.0016 \sqrt{\tfrac{gF}{V^2}} \tfrac{V^2}{g}\right)
SymbolMeaningUnit
VV10-m wind speedm/s
FFFetch lengthm
HsH_sSignificant wave heightm

Source: Pierson-Moskowitz (1964)

In short

Fully-developed seas: H_s \u2248 0.

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